With speakerwire you want to go thicker (thicker is better) You want between 12 guage and 16 gauge the smaller the number the larger the thickness. I also recommend buying banana plugs for each end of the speaker cable, it helps with ease of connection, controlling stray wires which can wreck havoc on your recievers amplifier if they accidently touch. and give you a minimum 8 point or more connection points as compared to two with bare wire.
Any HDMI cable will work and Blue Jean is a fantastic choice and very reasoably priced. Don't believe that Monster Cable crapola about Ultra and faster bandwidth speed, a cable cannot alter the speed of digital transmissions in any way shape or form and Gold connectors also don't help, it's just a cable to transfer 1's and 0's and gold won't change that in any way.
HDMI will transfer both audio and video signals along one cable, so you will need a HDMI from each device that needs it (Sat/Cable), Bluray, Game system. and then one more cable from the recievers HDMI out to the LCD's In.